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A New No-Equilibrium Chaotic System and Its Topological Horseshoe Chaos

Author

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  • Chunmei Wang
  • Chunhua Hu
  • Jingwei Han
  • Shijian Cang

Abstract

A new no-equilibrium chaotic system is reported in this paper. Numerical simulation techniques, including phase portraits and Lyapunov exponents, are used to investigate its basic dynamical behavior. To confirm the chaotic behavior of this system, the existence of topological horseshoe is proven via the Poincaré map and topological horseshoe theory.

Suggested Citation

  • Chunmei Wang & Chunhua Hu & Jingwei Han & Shijian Cang, 2016. "A New No-Equilibrium Chaotic System and Its Topological Horseshoe Chaos," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-6, December.
    • Handle: RePEc:hin:jnlamp:3142068
    DOI: 10.1155/2016/3142068
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    Cited by:

    1. Akgül, Ali & Partohaghighi, Mohammad, 2022. "New fractional modelling and control analysis of the circumscribed self-excited spherical strange attractor," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

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